Blanco Leschuk made his professional debut for Arsenal de Sarandí on 8 March 2011 in a 3–0 draw against Independiente. He scored his first goal in a 1–1 draw against Colón on 11 June 2011.[citation needed]
On 27 February 2014, Anzhi Makhachkala announced they had signed Blanco Leschuk on a free transfer.[10] He didn't make a single appearance at the club and left Anzhi at the end of the season.[11]
In September 2014, Blanco Leschuk signed for Moroccan side Wydad Casablanca on a two-year contract,[12] He terminated his contract with the club by mutual consent in February 2015.[13]
Blanco Leschuk agreed to a contract with FC Shakhtar Donetsk in 2017, but featured sparingly before joining Spanish club Málaga CF on loan on 8 August 2018.[15] Upon returning, he switched teams and countries again after signing for Turkish side Antalyaspor.
On 17 September 2020, Blanco Leschuk returned to Spain after joining Real Oviedo on a one-year loan deal.[16] The following 23 July, he moved to SD Eibar also in the second division, again on loan.[17]
On 16 August 2022, Blanco Leschuk signed a permanent two-year deal with the Armeros.[18] On 30 August 2023, he terminated his contract with the club.[19]